Suggestions

[Davy Jones]

With the exception of public computers, even people frequently switching between computers shouldn't be impacted. All major browsers support syncing of bookmarks.

When you have a few favorites, browsers are the better option, yes. But if you have hundreds of pictures, things are a little different. Not sure if you know https://e926.net/ but here you can fav tons of pictures you like (for example references in drawing) and look at them in thumbnail form in your own favorites list. This is far more comfortable than the text-based browser bookmarks.